UT Austin: integral ∫(1+sin^(x-1)) sin(x-1) cos(x-1) dx

trig Show these identities ...

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trig Write each expression as an equivalent algebraic expression involving only x.

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2 ways: integral ∫x√(1-x) dx

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trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]

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2 ways: sq root derivative 1/(√√(1/√x))

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logic: Show p→q ≡¬ p∨q

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Variance measured in the squares of the units for the observations.

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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)

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Lamar U 2nd way: evaluate exp integral ∫e^(x+e^x) dx

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Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)

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2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]

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trig hyper integral cos(sin(sinh(x))) cos(sinh(x)) cosh(x) dx

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Review: trig sin(x)= cos(90-x) = cos(x-90) prefer

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Find nth derivative of e^(ax)

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Tongue 𝙙𝙚𝙫𝙞𝙖𝙩𝙞𝙤𝙣 𝙖𝙣𝙜𝙡𝙚 as the warning sign of a 🆂🆃🆁🅾🅺🅴

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Derivative hyper trig arc tan(tanh(x))

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